Itsy bitsy topological field theory

(54 pages) – on the arXivpublished in Annales Henri Poincaré.

Abstract: We construct an elementary, combinatorial kind of topological quantum field theory, based on curves, surfaces, and orientations. The construction derives from contact invariants in sutured Floer homology and is essentially an elaboration of a TQFT defined by Honda–Kazez–Matic. This topological field theory stores information in binary format on a surface and has “digital” creation and annihilation operators, giving a toy-model embodiment of “it from bit”.

itsy_bitsy

Left and climate

Decadent left, eh?
Well, there is certainly something to be said about a serious thoroughgoing left as opposed to a narrow interest-group one.
But this is surely wrong, for instance, in arguing that the anti-Keystone pipeline movement is a narrow (NIMBY?) movement — it’s “game over for the climate” if it is built. There may be some narrow interest groups involved, but it’s in the broadest interest of the species and the biosphere, which is much broader any focus on Wall Street etc; this “killing off American jobs” is a standard right-wing talking point, and a red herring (plenty of better ways to employ people) or false (it actually doesn’t employ many people in the long term). Likewise for the unions — some may be decrepit and narrow in practice today, but almost all modern movements for social equality and justice involve unions; again the idea that unions are by nature a narrow interest group is more standard right-wing nonsense (the general population has become a “narrow interest group”, but corporations represent the “national interest”).
Add to that, that he is, in standard NYT fashion, displaying his credentials of respectability by throwing random insults at OWS — “flakes”, “fantasists”, ridiculous people who appreciate the historical value of the Paris Commune!
As for the climate justice movement, there certainly is some constructive criticism to be made. In general it has not been willing to make arguments against the economic system; Naomi Klein had a good article about this recently . The climate crisis is a vindication of everything the radical left has been saying for a century, and the best argument right now for a radical change in the economic system. Certainly this argument is not being made anywhere near enough.
But, the climate movement frames the issue just as I said above, not in terms of local issues, jobs, NIMBY, or narrow environmental questions (this forest, those turtles) but in terms of the climate and the planet and the species as a whole. The quote “game over for the climate” is James Hansen, NASA leading climatologist. Bill McKibben regularly talks in these terms and links it to indigenous struggles and the idea that the earth maintains all life, and OWS struggles. Occupy activists see the recent Keystone decision as part of a turning of the tide.
So, it seems that there are moves in the right direction, although there is plenty still to be done. To draw a clear distinction between single-issue, decadent climate justice movement and radical, whole-system OWS movement is not quite right; they naturally politically and philosophically run together, are partly already running together, and are increasingly running together.
And we must make it even more so!

Occupy: US and Australia

The whole movement of occupations is a massive global phenomenon, one barely knows where to begin in discussing it. It’s all over the place, in the sense of existing in cities everywhere, which is a good thing. It’s all over the place, in terms of its political coherence, or lack thereof — which is a bad thing, as a matter of abstract principle, but in the backwards political and cultural context of the US has probably been a very good thing. And it’s all over the place, in terms of its programme, or lack thereof — again, a bad thing in principle, but working very well in a backwards context.
As far as the Australian context goes, the economic situation is nowhere near as dire, and Australia retains more of the remnants of a welfare state, has a fortuitous boom fueling Chinese industrialization and the death of the planet, no great indebtedness, not such massive inequality, not such massive unemployment, not such massive racial disparities, and so on. But the anomie, the dissatisfaction with the system, the alienation and disgust with life under this system is readily apparent. Give it the material conditions, and it will come.
A particular difference, relevant to Australia, is that one of the major factors that made Occupy Wall Street into a mainstream phenomenon in the US, was the support of unions. And not just verbal support, but their ability to mobilize thousands to demonstrate in support. So far as I know, that was completely absent in Australia.
The state repression was brutal, which is always sad and infuriating. I don’t think it’s surprising; the gratuitous viciousness meted out to movements, nonviolent or not, which challenge the system in fundamental ways is a constant of history. It is only shocking when one forgets the history; and the history of radical dissent in the last few decades, especially in Australia, is shockingly thin.
I was more surprised by the nonviolence of occupiers in the face of such police violence; all the more so, in the cases of Berkeley and Davis. Certainly nonviolence in such circumstances is correct strategically, and almost always in principle, particularly in the present day when the State reigns so supreme in the means of violence. Still, it is quite astonishing to note that, faced with the bone-crushing savagery of the police attack, there was a complete absence — to a man — of anyone willing to try to lay a finger on these vicious thugs. The level of admirable principled nonviolence is stunning, and all the occupations I know of are virtually unanimous in their commitment to nonviolence. I do wonder how much of it is more a reflection of a general ineptitude in violence, rather than a principled commitment, but either way it is quite heartening. There is part of me that would have loved to have seen some cops decked along the way, getting a taste of their own medicine, that it would have been rough justice; which, I suppose, is only human. And no doubt there is a time when a commitment to nonviolence and turning the other cheek becomes an invitation to be treated as a doormat. But we are not there yet, and in any case the nonviolence has been very positive in effect: it wins support to the movement when it remains nonviolent in the face of such brutal violence, and it makes a stunning statement of principled action. It was clearly the right strategy here.
I think there is more to the difference in Australia than just the economic situation. I would add cultural factors, which in general require engaging in speculation and exaggeration; I am exaggerating tendencies I perceive in the following. Australian society is much less forthright on matters of principle. An American proudly states their mind, and they and all around swell with pride in their first amendment and free speech. An Australian does it, and everyone tells them to get their hand off it. I tend to think the circumspection in Australian culture is generally better practice, as the first real lesson of democracy is knowing when to shut up, and the appropriate time to open one’s mouth. (Not to mention the propensity for proudly self-announced moral virtue to stink of hypocrisy.) On the other hand, of course, the zero’th real lesson of democracy is knowing how to talk. So the square full of nonconformist signs and people and behaviours sits more easily in the US than Australia; or at least, certain parts of the US. I don’t doubt Australia could do it too of course.
One more even more speculative cultural thing. Post-invasion Australia is a nation of convicts; this leads to some mistrust of authority, which can be healthy, but usually this only applies in contexts where it is irrelevant (traffic police, elected politicians, etc). But more importantly in the present context: Australia is also a nation of wardens. Any threat disturbing the peace of conformity and resignation raises the greatest annoyance and indignation, until the deviant elements are hauled off and taken away, out of sight, and all returns to the order and stability of the prison. That is the Australia of wardens: silent, clean, and white.

To gaily marry

Argh. Anti-gay-marriage argument!
There are some arguments worth considering against the gay marriage movement — for instance, whether it’s the best strategic focus. Is queer liberation best achieved by conforming to dominant practices and institutions like marriage, or is there a better means and focus of struggle? And of course, there are long-standing arguments, especially those made by feminists, made against marriage itself, as a patriarchal, hierarchical, and historically oppressive social institution. Since I am not gay, though, strategy for queer liberation is less a question for me, and one on which I defer to the people who are most affected.
However, these arguments against gay marriage are not the ones one tends to come across in the mainstream. Such as our sample here.
Let’s put aside Akerman’s more hilarious notions. Gay marriage is “inconsequential”, so that queer people and their concerns are of no consequence — recall, the first step in hatred of the other is to deny the humanity of the other. On the other hand, doing something about climate change is “demonic” — I wonder what is of consequence then? The queer community “loses” Akerman because they called for non-discrimination in donating blood — can he possibly be serious, and even if so, can he possibly be serious using this as a reason to oppose the queer community’s call for gay marriage rights? Is a more complete non sequitur posible? He even appears to regret the legalization of gay sexual acts, and he propagates stereotypes of queer people as attention-seeking and sexually obsessed. This particular article seems determined to offend anyone who cares about climate change, discrimination against gay people (even in donating blood), deficit spending, internet infrastructure, the environment in general, and more; including anyone who knows a non-hetero person. Being so ridiculous, it’s more of a laugh, and probably won’t convince many people.
But let’s put this aside and get to the one argument he does make.
“[M]arriage is the union of a man and a woman. That’s right – it is the practice of individuals of opposite sex joining in a recognised civil or religious bond. That is the definition of marriage. Anything else is not marriage.”
A standard tactic to shut down debate about marriage is to make it a matter of definition. Having made the definition, if you don’t satisfy it, you are excluded.
The problem is that social issues are not mathematics, and words of social description do not have mathematical definitions.
Language does evolve over time — and, thankfully, a single person can’t control it. You cannot stop a political movement by reading a dictionary at them.
(Case in point: Akerman’s usage of “homosexuals” for queer people gives him away as a fossil.)
I’ll be happy to use the word “marriage” loudly and clearly to describe married gay couples, and will repeat, and repeat, until this argument sounds as antiquated, as obscure, as esoteric, and as irrelevant as the overzealous grammarian decrying a split infinitive.
Marriage is a social practice that evolves through time in any society; and social struggles do involve changes in language. It may be a good or bad institution. But love is love, and stable, loving, life-long relationships are entitled to the same legal and social status regardless of sexual orientation.
To marry, to marry, to gaily marry, adverb and verb, woman and man, man and woman, woman and woman, man and man, and everything in between.

The limits of tyrants

“Let me give you a word of the philosophy of reform. The whole history of the progress of human liberty shows that all concessions yet made to her august claims, have been born of earnest struggle. The conflict has been exciting, agitating, all-absorbing, and for the time being, putting all other tumults to silence. It must do this or it does nothing. If there is no struggle there is no progress. Those who profess to favor freedom and yet depreciate agitation, are men who want crops without plowing up the ground, they want rain without thunder and lightening. They want the ocean without the awful roar of its many waters.
This struggle may be a moral one, or it may be a physical one, and it may be both moral and physical, but it must be a struggle. Power concedes nothing without a demand. It never did and it never will. Find out just what any people will quietly submit to and you have found out the exact measure of injustice and wrong which will be imposed upon them, and these will continue till they are resisted with either words or blows, or with both. The limits of tyrants are prescribed by the endurance of those whom they oppress.”
— Frederick Douglass
[an extended version of the usual quote]

Psychiatry

“Consider the shrink. Many mental problems originate not in diseases of the brain but in deficiencies of society. The arduousness of living with unfulfilling work, financial insecurity, arbitrary bosses, lack of solidarity and insufficient personal power, together with the anguish caused by racism, sexism, ageism, lookism, ableism and all the other oppressive hierarchies that plague this society, helps explain the fact that more than 10% of the population (and not counting those with substance abuse disorders) suffers from mental or emotional problems. There are enough troubled individuals in the United States to keep busy 100,000 psychiatrists and clinical psychologists and a much larger number of clinically trained social workers and other mental health professionals. People’s mental problems often appear as deviations from social or legal norms and therefore are problems for the status quo as well as for the deviant individuals.
The problems of both would be solved if troubled individuals abided by the values of the status quo, and of course the mainstream mental health system more often than not works to alter behavior in that direction. But attempting to adjust people to the unhealthy society that caused their problems in the first place may not always be the healthiest approach for either the individuals or society. A simple alternative would be to help some trouble individuals bring out, clarify and sharpen their implicit critique — to strengthen them for the struggle in which they are engaged, instead of removing them from it, because the struggle can be both therapeutic for the individual and beneficial to society. But the institutions of mental health, such as hospitals that employ psychiatrists and clinical psychologists, are institutions of the status quo. They are not about to turn the troubled into troublemakers, no matter how healthful that might be. The mental health professional is someone that such an employer can trust to move confused people away from struggle with social norms and authority and toward a life in which they are “well adjusted” to their place in the socio-economic hierarchy.
As professionals, psychotherapists are “nonpartisan” in their work: They just help ill people get better. But to declare extreme nonconformity an illness, as psychology professionals often do, is a partisan act because of the down-on-the-victim therapeutic framework it rationalizes: “Treating `sick’ individuals” is a much more politically conservative framework than is “treating individuals troubled by a sick and oppressive society.” Evidently it is not the place of the clinicians to question the health of the society to which the patient must be adjusted. Their “legitimate” professional concern is how best to bring about the adjustment. In this alone, they are expected to use their creativity. The few who do raise questions are seen as “getting political,” even though it is hard to imagine how they could get any more political than mainstream clinical psychology itself, which often practices conservative social action disguised as
medical treatment.”
— Jeff Schmidt, Disciplined Minds

Sutured TQFT, torsion, and tori

(29 pages) – on the arXivpublished in International Journal of Mathematics.

Abstract: We use the theory of sutured TQFT to classify contact elements in the sutured Floer homology, with \(\mathbb{Z}\) coefficients, of certain sutured manifolds of the form \((\Sigma \times S^1, F \times S^1)\) where \(\Sigma\) is an annulus or punctured torus. Using this classification, we give a new proof that the contact invariant in sutured Floer homology with \(\mathbb{Z}\) coefficients of a contact structure with Giroux torsion vanishes. We also give a new proof of Massot’s theorem that the contact invariant vanishes for a contact structure on \((\Sigma \times S^1, F \times S^1)\) described by an isolating dividing set.

STQFT_torsion